AI 中文总结
该研究推导了任意维数下的广义多方正则黑洞解，分析其正则条件、动力学形成、热力学性质及相结构，揭示了其存在维数依赖的相变。
AI 中文摘要
我们研究了任意时空维数下具有反德西特（AdS）渐近行为的静态球对称正则黑洞，它们是爱因斯坦引力的解，由各向异性流体提供源，该流体的径向压强对应真空能量，而切向压强满足广义多方态方程。通过求解爱因斯坦场方程，我们推导了一类通用的渐近AdS黑洞解，并确定了时空正则性所需的条件。随后，我们在薄壳形式主义框架下研究了这些正则黑洞的动力学形成，假设壳物质满足线性正压态方程。接下来，我们通过验证黑洞热力学第一定律和对应的斯马尔关系，研究了任意维数下正则AdS黑洞的热力学性质，分析了4、5、6维时空解的热力学稳定性和相结构，证明了存在依赖于维数的相变。
英文摘要
We investigate static, spherically symmetric regular black holes with anti-de Sitter (AdS) asymptotics in arbitrary spacetime dimensions. They are solutions of Einstein gravity, sourced by an anisotropic fluid whose radial pressure corresponds to vacuum energy, while the tangential pressure satisfies a generalized polytropic equation of state. By solving the Einstein field equations, we derive a generic class of asymptotically AdS black hole solutions and determine the conditions required for spacetime regularity. We then investigate the dynamical formation of these regular black holes within the thin-shell formalism, assuming a linear barotropic equation of state for the shell matter. Next, we study the thermodynamics of the regular AdS black holes in arbitrary dimensions by verifying the first law of black hole thermodynamics and the corresponding Smarr relation. We analyze the thermodynamic stability and phase structure of solutions in four, five, and six spacetime dimensions, demonstrating the existence of dimension-dependent phase transitions.
Comments28 pages, 7 captioned figure
